Este curso he aprobado Matemáticas.

Questions & Answers about Este curso he aprobado Matemáticas.

Why does curso mean "school year" here instead of "course"?
In Spanish, curso can mean a training course, but in a standard educational context, it frequently refers to the entire academic year (short for curso escolar). If you want to talk about a specific subject like math or history, the word is asignatura.
Why do we use the present perfect (he aprobado) instead of the simple past (aprobé)?
In Spain, the present perfect (he aprobado) is used when the time period you are talking about is not finished yet. Because the speaker says Este curso (This school year), the year is still ongoing, making the present perfect the right choice.
Does aprobar mean "to approve"?
It can, but in school and university contexts, aprobar specifically means "to pass" an exam or a class. If you want to say that you failed a class, you would use the verb suspender.
Why is Matemáticas capitalized and used without the word "las"?
In Spanish, the names of academic subjects are treated like proper nouns and are capitalized. You also don't need the word las (the) in front of it here because you are just naming the subject you passed.

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